Square Inscribed in a Square: Maximizing Distance Between Vertices

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Homework Statement



A square of perimeter 20 is inscribed in a square of perimeter 28. What is the greatest distance between a vertex of the inner square and a vertex of the outer square.

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The Attempt at a Solution

I have a question. Can a square be inscribed in another square by having it sit along the base and the side of the bigger square? Does it only have to touch vertice to side?
 
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